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Finding the Fourth Proportional to 65.97, 91.12 and 53.74

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Solution

The fourth proportional to 65.97, 91.12 and 53.74 is: 74.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 91.12 = 53.74 : x
  2. Step 2: Convert to fraction form
    65.97/91.12 = 53.74/x
  3. Step 3: Cross multiply
    65.97x = 91.12 × 53.74
  4. Step 4: Simplify right side
    65.97x = 4,896.43
  5. Step 5: Solve for x
    x = 4,896.43/65.97
  6. Step 6: Final answer
    x = 74.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.